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241663252652613 = 321122383531310473
BaseRepresentation
bin110110111100101010011100…
…010101000110001001000101
31011200122210002120212020011200
4312330222130111012021011
5223133402320134340423
62213550322102253113
7101621410453556331
oct6674523425061105
91150583076766150
10241663252652613
117000189aa79a20
122312bb5a427199
13a4ac993051c6c
1443967c72527c1
151ce1338441d43
hexdbca9c546245

241663252652613 has 48 divisors (see below), whose sum is σ = 382556421671424. Its totient is φ = 145788227758080.

The previous prime is 241663252652603. The next prime is 241663252652641. The reversal of 241663252652613 is 316256252366142.

241663252652613 is a `hidden beast` number, since 2 + 4 + 1 + 6 + 6 + 3 + 2 + 526 + 52 + 61 + 3 = 666.

It is not a de Polignac number, because 241663252652613 - 25 = 241663252652581 is a prime.

It is a super-2 number, since 2×2416632526526132 (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 241663252652613.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241663252652603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 183753945 + ... + 185064417.

It is an arithmetic number, because the mean of its divisors is an integer number (7969925451488).

Almost surely, 2241663252652613 is an apocalyptic number.

It is an amenable number.

241663252652613 is a deficient number, since it is larger than the sum of its proper divisors (140893169018811).

241663252652613 is a wasteful number, since it uses less digits than its factorization.

241663252652613 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319066 (or 1319063 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 54.

The spelling of 241663252652613 in words is "two hundred forty-one trillion, six hundred sixty-three billion, two hundred fifty-two million, six hundred fifty-two thousand, six hundred thirteen".

Divisors: 1 3 9 11 33 99 223 669 2007 2453 7359 8353 22077 25059 75177 91883 275649 826947 1310473 1862719 3931419 5588157 11794257 14415203 16764471 20489909 43245609 61469727 129736827 184409181 292235479 876706437 2630119311 3214590269 9643770807 10946380969 28931312421 32839142907 98517428721 120410190659 361230571977 1083691715931 2441042956087 7323128868261 21969386604783 26851472516957 80554417550871 241663252652613